Least Common Multiple of 1714/850, 4959/4301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1714/850, 4959/4301 quickly i.e. 8499726/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1714/850, 4959/4301 is 8499726/17.

LCM(1714/850, 4959/4301) = 8499726/17

LCM of 1714/850, 4959/4301

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 1714/850,4959/4301

Given numbers are 1714/850,4959/4301

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 1714,4959

Least Common Multiple of Numerators i.e. LCM of 1714,4959 is 8499726.

GCF of Denominators means GCF of 850,4301 as per the given fractions.

GCF of 850,4301 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1714,4959

LCM of Fractions 1714/850,4959/4301 is 8499726/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 8499726

Least Common Multiple of 1714,4959 with GCF Formula

Least Common Multiple of 1714,4959 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 1714,4959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1714,4959) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(1714,4959) x common factors =1 x 1 = 1

LCM(1714,4959) = ( 1714 × 4959 ) / 1

LCM(1714,4959) = 8499726 / 1

LCM(1714,4959) = 8499726


Lets's calculate GCF of 850,4301

17 850, 4301
50, 253

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8499726/17

Therefore the LCM of Fractions 1714/850,4959/4301 is 8499726/17

Greatest Common Factor of 850,4301 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,4301 By Matching Biggest Common Factor Method

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 4301

List of positive integer factors of 4301 that divides 4301 without a remainder.

1,11,17,23,187,253,391,4301

Greatest Common Factor

We found the factors 850,4301 . The biggest common factor number is the GCF number.
So the greatest common factor 850,4301 is 17.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 1714/850, 4959/4301

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 1714/850, 4959/4301?

Answer: LCM of Numerators as per given numbers 1714/850, 4959/4301 is

LCM of Numerators i.e. for 1714,4959 is 8499726

GCF of denominators i.e. for 850,4301 is 17.

Thus, LCM of Fractions is 8499726/17.Finally, LCM of Fractions for 1714/850, 4959/4301 is 8499726/17.